This site is supported by donations to The OEIS Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A193085 Decimal expansion of the constant term of the reduction of (e^x)*sin(x) by x^2->x+1. 3
 1, 1, 6, 6, 3, 4, 7, 3, 4, 8, 1, 9, 0, 8, 6, 4, 5, 4, 0, 4, 8, 1, 3, 2, 1, 6, 5, 5, 4, 7, 0, 2, 0, 1, 7, 2, 3, 9, 5, 9, 3, 0, 1, 2, 3, 1, 1, 8, 9, 4, 4, 5, 7, 2, 1, 4, 3, 5, 9, 2, 0, 7, 2, 5, 7, 0, 8, 4, 1, 5, 3, 4, 1, 0, 5, 8, 7, 1, 2, 2, 6, 8, 7, 1, 3, 1, 6, 0, 4, 9, 7, 5, 9, 5, 2, 9, 9, 3, 6, 1 (list; constant; graph; refs; listen; history; text; internal format)
 OFFSET 1,3 COMMENTS Reduction of a function f(x) by a substitution q(x)->s(x) is introduced at A193010. LINKS EXAMPLE constant=1.166347348190864540481321655470201723 ... MATHEMATICA f[x_] := Exp[x] Sin[x]; r[n_] := Fibonacci[n]; c[n_] := SeriesCoefficient[Series[f[x], {x, 0, n}], n] u0 = N[Sum[c[n]*r[n - 1], {n, 0, 100}], 100] RealDigits[u0, 10]  (* A193085 *) u1 = N[Sum[c[n]*r[n], {n, 0, 100}], 100] RealDigits[u1, 10]  (* A193086 *) CROSSREFS Cf. A193010, A192232, A193086. Sequence in context: A010498 A240502 A112112 * A197510 A110632 A202068 Adjacent sequences:  A193082 A193083 A193084 * A193086 A193087 A193088 KEYWORD nonn,cons AUTHOR Clark Kimberling, Jul 15 2011 STATUS approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified August 23 12:02 EDT 2019. Contains 326222 sequences. (Running on oeis4.)